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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 523 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A square has a perimeter of 40 cm. What is its area (in square cm)?
  3. 3.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  4. 4.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 13 cm long and 8 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
  12. 12.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 9 cm long and 7 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 13 cm long and 10 cm wide, a rectangle 10 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A wall is 4 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 12 cm. What is its area (in square cm)?
  30. 30.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 9 cm long and 15 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 100 m long and 85 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a square is 17 cm. What is its perimeter (in cm)?
  34. 34.Each side of a square is 24 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 17 cm long and 13 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.From a rectangle 18 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A square has a perimeter of 68 cm. What is its area (in square cm)?
  38. 38.A square has a perimeter of 36 cm. What is its area (in square cm)?
  39. 39.A square has a perimeter of 8 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1500
  2. 100
  3. 110
  4. 360
  5. 84
  6. 3
  7. 360
  8. 10
  9. 5500
  10. 360
  11. 5
  12. 1120
  13. 6
  14. 36
  15. 3510
  16. 4480
  17. 1080
  18. 700
  19. 21
  20. 2040
  21. 1550
  22. 4000
  23. 5400
  24. 55
  25. 84
  26. 132
  27. 60
  28. 360
  29. 9
  30. 400
  31. 115
  32. 2960
  33. 68
  34. 96
  35. 207
  36. 124
  37. 289
  38. 81
  39. 4
  40. 2450

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